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Finding the Fourth Proportional to 408.87, 564.21 and 234.21

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Solution

The fourth proportional to 408.87, 564.21 and 234.21 is: 323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.87 : 564.21 = 234.21 : x
  2. Step 2: Convert to fraction form
    408.87/564.21 = 234.21/x
  3. Step 3: Cross multiply
    408.87x = 564.21 × 234.21
  4. Step 4: Simplify right side
    408.87x = 132,143.62
  5. Step 5: Solve for x
    x = 132,143.62/408.87
  6. Step 6: Final answer
    x = 323.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.